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Finding the Fourth Proportional to 1,987.93, 2,743.25 and 1,103.73

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Solution

The fourth proportional to 1,987.93, 2,743.25 and 1,103.73 is: 1,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.93 : 2,743.25 = 1,103.73 : x
  2. Step 2: Convert to fraction form
    1,987.93/2,743.25 = 1,103.73/x
  3. Step 3: Cross multiply
    1,987.93x = 2,743.25 × 1,103.73
  4. Step 4: Simplify right side
    1,987.93x = 3,027,807.32
  5. Step 5: Solve for x
    x = 3,027,807.32/1,987.93
  6. Step 6: Final answer
    x = 1,523.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.